Consider two lines with parametric equations p(t) = (1, −4, −3) + t(−4, 3, 0) and q(t) = (−3, 3, −1) + t(−3, 1, 0),

Consider two lines with parametric equations p(t) = (1, −4, −3) + t(−4, 3, 0) and q(t) = (−3, 3, −1) + t(−3, 1, 0), respectively. Include a figure with your solutions. a. Find two parallel planes that contain the two lines. b. Find the distance between the lines. nt: Use a cross product of the direction vectors of the lines to find a vector orthogonal to both of these lines. The distance between two point sets A and B is d(A, B) := min{d(a, b) | a ∈ A and b ∈ B}

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